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2.4 N: Statistical distributions

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Question 105

The probability that a car fails an emissions test is 0.18, independently of every other car. A random sample of n n\,n cars is tested.

a.

Show that the probability that at least one of the n n\,n cars fails is 1−0.82n1 - 0.82^n1−0.82n.

[2]
b.

Find the smallest value of n n\,n for which this probability exceeds 0.99.

[3]
c.

State one assumption needed for the binomial model to be appropriate here.

[1]
Markscheme

2.4 N: Statistical distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 N: Statistical distributions

390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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